cost-volume-profit relationships
DESCRIPTION
Cost-Volume-Profit Relationships. Chapter 03. Quick Check . Racing Bicycle Company Selling price per unit: $500 Variable costs per unit: $300 Fixed costs per month: $80,000 What is the company’s net operating income if the production and selling is 500 units in January 2014?. - PowerPoint PPT PresentationTRANSCRIPT
Cost-Volume-Profit Relationships
Chapter 03
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Quick Check
Racing Bicycle Company
•Selling price per unit: $500
•Variable costs per unit: $300
•Fixed costs per month: $80,000
What is the company’s net operating income if the
production and selling is 500 units in January
2014?
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Contribution Margin Approach
Total Per UnitSales (500 bicycles) 250,000$ 500$ Less: Variable expenses 150,000 300 Contribution margin 100,000 200$
Less: Fixed expenses 80,000 Net operating income 20,000$
Racing Bicycle CompanyContribution Income Statement
For January, 2014
What is the implication of Contribution margin per unit?
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CVP Graph
300 units 400 units 500 unitsSales 150,000$ 200,000$ 250,000$ Variable expenses 90,000 120,000 150,000 Contribution margin 60,000$ 80,000$ 100,000$ Fixed expenses 80,000 80,000 80,000 Net operating income (20,000)$ -$ 20,000$
300 units 400 units 500 unitsSales 150,000$ 200,000$ 250,000$ Variable expenses 90,000 120,000 150,000 Contribution margin 60,000$ 80,000$ 100,000$ Fixed expenses 80,000 80,000 80,000 Net operating income (20,000)$ -$ 20,000$
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50,000
100,000
150,000
200,000
250,000
300,000
350,000
400,000
450,000
- 100 200 300 400 500 600 700 800
CVP Graph
Fixed costs
units
$
Total costs
Sales
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Contribution Margin Ratio (CM Ratio)
Total Per Unit %Sales (500 bicycles) 250,000$ 500$ 100%Less: Variable expenses 150,000 300 60%Contribution margin 100,000 200$ 40%
Less: Fixed expenses 80,000 Net operating income 20,000$
Racing Bicycle CompanyContribution Income Statement
For the Month of June
What is the implication of Contribution margin ratio?
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Contribution Margin Ratio (CM Ratio)
The contribution margin ratio at Racing Bicycle is:
CM per unitSP per unit
CM Ratio = = 40%$200$500
=
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Quick Check Coffee Klatch is an espresso stand in
a downtown office building. The average selling price of a cup of coffee is $1.49 and the average variable expense per cup is $0.36. The average fixed expense per month is $1,300. 2,100 cups are sold each month on average. What is the CM Ratio for Coffee Klatch?a. 1.319b. 0.758c. 0.242d. 4.139
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Changes in Fixed Costs and Sales Volume
Wind is currently selling 500 bikes per month. The company’s sales manager believes that an increase of $10,000 in the monthly advertising budget would
increase bike sales to 540 units.
Should we authorize the requested increase in the advertising budget?
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Current Sales (500 bikes)
Projected Sales (540
bikes)
Sales 250,000$ 270,000$ Less: variable expenses 150,000 162,000 Contribution margin 100,000 108,000 Less: fixed expenses 80,000 90,000 Net operating income 20,000$ 18,000$
Current Sales (500 bikes)
Projected Sales (540
bikes)
Sales 250,000$ 270,000$ Less: variable expenses 150,000 162,000 Contribution margin 100,000 108,000 Less: fixed expenses 80,000 90,000 Net operating income 20,000$ 18,000$
Changes in Fixed Costs and Sales Volume
Sales increased by $20,000, but net operating income decreased by $2,000..
Sales increased by $20,000, but net operating income decreased by $2,000..
$80,000 + $10,000 advertising = $90,000$80,000 + $10,000 advertising = $90,000
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Changes in Fixed Costs and Sales Volume
The Shortcut SolutionThe Shortcut Solution
Increase in CM (40 units X $200) 8,000$ Increase in advertising expenses 10,000 Decrease in net operating income (2,000)$
Increase in CM (40 units X $200) 8,000$ Increase in advertising expenses 10,000 Decrease in net operating income (2,000)$
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Break-Even Analysis
Break-even analysis can be approached in three ways:
1. Graphical analysis.2. Equation method.3. Contribution margin method.
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Equation Method
Profits = Sales – (Variable expenses + Fixed expenses)
Sales = Variable expenses + Fixed expenses + Profits
OR
At the break-even point profits equal zero.
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Break-Even AnalysisHere is the information from Racing Bicycle Co.:
Total Per Unit PercentSales (500 bikes) 250,000$ 500$ 100%Less: variable expenses 150,000 300 60%Contribution margin 100,000$ 200$ 40%
Less: fixed expenses 80,000 Net operating income 20,000$
Total Per Unit PercentSales (500 bikes) 250,000$ 500$ 100%Less: variable expenses 150,000 300 60%Contribution margin 100,000$ 200$ 40%
Less: fixed expenses 80,000 Net operating income 20,000$
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Equation Method We calculate the break-even point as follows:
Sales = Variable expenses + Fixed expenses + Profits
$500Q = $300Q + $80,000 + $0
Where: Q = Number of bikes sold $500 = Unit selling price $300 = Unit variable expense $80,000 = Total fixed expense
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Equation Method We calculate the break-even point as follows:
Sales = Variable expenses + Fixed expenses + Profits
$500Q = $300Q + $80,000 + $0$200Q = $80,000 Q = $80,000 ÷ $200 per bike Q = 400 bikes
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Equation Method We can also use the following equation to compute the break-even point in sales dollars.
Sales = Variable expenses + Fixed expenses + Profits
X = 0.60X + $80,000 + $0 Where:
X = Total sales dollars 0.60 = Variable expenses as a % of sales
$80,000 = Total fixed expenses
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Equation Method
X = 0.60X + $80,000 + $0 0.40X = $80,000 X = $80,000 ÷ 0.40 X = $200,000
We can also use the following equation to compute the break-even point in sales dollars.
Sales = Variable expenses + Fixed expenses + Profits
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Contribution Margin Method
The contribution margin method is a variation of the equation method.
Fixed expensesUnit contribution margin
=Break-even point
in units sold
Fixed expenses CM ratio
=Break-even point intotal sales dollars
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Quick Check Coffee Klatch is an espresso stand in
a downtown office building. The average selling price of a cup of coffee is $1.49 and the average variable expense per cup is $0.36. The average fixed expense per month is $1,300. 2,100 cups are sold each month on average. What is the break-even sales in units?a. 872 cupsb. 3,611 cupsc. 1,200 cupsd. 1,150 cups
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Quick Check Coffee Klatch is an espresso stand in
a downtown office building. The average selling price of a cup of coffee is $1.49 and the average variable expense per cup is $0.36. The average fixed expense per month is $1,300. 2,100 cups are sold each month on average. What is the break-even sales in dollars?a. $1,300b. $1,715c. $1,788d. $3,129
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Target Profit Analysis
Suppose Racing Bicycle wants to know how many bikes must be sold to earn a
profit of $100,000.
We can use our CVP formula to determine the sales volume needed to achieve a
target net profit figure.
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The CVP Equation
Sales = Variable expenses + Fixed expenses + Profits
$500Q = $300Q + $80,000 + $100,000
$200Q = $180,000
Q = 900 bikes
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The Contribution Margin Approach
We can determine the number of bikes that must be sold to earn a profit of
$100,000 using the contribution margin approach. Fixed expenses + Target profit Unit contribution margin
=Unit sales to attain
the target profit
$80,000 + $100,000 $200 per bike
= 900 bikes
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Quick Check Coffee Klatch is an espresso stand in
a downtown office building. The average selling price of a cup of coffee is $1.49 and the average variable expense per cup is $0.36. The average fixed expense per month is $1,300. How many cups of coffee would have to be sold to attain target profits of $2,500 per month?a. 3,363 cupsb. 2,212 cupsc. 1,150 cupsd. 4,200 cups
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The Margin of Safety
Excess of budgeted (or actual) sales over the break-even volume of sales. The
amount by which sales can drop before losses begin to be incurred.
Margin of safety = Total sales - Break-even sales
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The Margin of Safety
Racing Bicycle has a break-even point of $200,000. If actual sales are $250,000, the margin of safety is $50,000 or 100
bikes.Break-even
sales 400 units
Actual sales 500 units
Sales 200,000$ 250,000$ Less: variable expenses 120,000 150,000 Contribution margin 80,000 100,000 Less: fixed expenses 80,000 80,000 Net operating income -$ 20,000$
Break-even sales
400 unitsActual sales
500 unitsSales 200,000$ 250,000$ Less: variable expenses 120,000 150,000 Contribution margin 80,000 100,000 Less: fixed expenses 80,000 80,000 Net operating income -$ 20,000$
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The Margin of Safety
The margin of safety can be expressed as 20% of sales.
($50,000 ÷ $250,000)
Break-even sales
400 unitsActual sales
500 unitsSales 200,000$ 250,000$ Less: variable expenses 120,000 150,000 Contribution margin 80,000 100,000 Less: fixed expenses 80,000 80,000 Net operating income -$ 20,000$
Break-even sales
400 unitsActual sales
500 unitsSales 200,000$ 250,000$ Less: variable expenses 120,000 150,000 Contribution margin 80,000 100,000 Less: fixed expenses 80,000 80,000 Net operating income -$ 20,000$
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Quick Check Coffee Klatch is an espresso stand in
a downtown office building. The average selling price of a cup of coffee is $1.49 and the average variable expense per cup is $0.36. The average fixed expense per month is $1,300. 2,100 cups are sold each month on average. What is the margin of safety?a. 3,250 cupsb. 950 cupsc. 1,150 cupsd. 2,100 cups
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Example – SAA• School of Accounting & Auditing launches monthly tax accounting
courses (10 sessions, 2 hours each). There are three alternatives for tuition fees:
tuition fee No. of learnersVND 600,000 25 500,000 32 400,000 42
• Each course incurs: ▫Instructor expense: VND500,000/session; ▫Classroom rent expense: VND100,000/session;▫Advertising & administrative expense: VND3,000,000đ/course▫Learning materials & certification preparation: VND100,000/learner
• How many leaners should each course have to breakeven?• What alternative the School should choose?
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Example - SAA
Alt. #1 Alt. #2 Alt. #31 Tuition fee 2 Variable costs per learner3 Contribution margin per learner4 Contribution margin ratio5 Total fixed costs6 Breakeven - No. of learners7 Breakeven - Sales dollars8 Expected No. of learners9 Expected operating profit
10 Expected Sales dollars11 Safety margin ($)12 Safety margin (No. of learners)
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Cost structure refers to the types and relative proportions of variable and fixed
costs that a business incurs.
Which cost structure is better? More fixed or more variable?
Cost structure refers to the types and relative proportions of variable and fixed
costs that a business incurs.
Which cost structure is better? More fixed or more variable?
Cost structure
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Ford Vinaxuki
Sales 1.000 1.000
Variable costs 500 600
Contribution margin 500 400
Fixed costs 300 200
Net operating margin 200 200
Cost structure
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What is an increase in net operating income if each
company’s sales increase by 20%?
What is an increase in net operating income if each
company’s sales increase by 20%?
Cost structure
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FordIncrease in Operating
income:
VinaxukiIncrease in Operating
income:
Cost structure
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What is an increase in net operating income if each
company’s sales decrease by 20%?
What is an increase in net operating income if each
company’s sales decrease by 20%?
Cost structure
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VinaxukiDecrease in Operating
income:
FordDecrease in Operating
income:
Cost structure
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Operating Leverage• A measure of how sensitive net operating
income is to percentage changes in sales.• With high leverage, a small percentage increase
in sales can produce a much larger percentage increase in net operating income.
Contribution margin Net operating income
Degree ofoperating leverage =
∆% Sales
Degree of operating
leverage (DOL)=
∆%Net operating income
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Operating leverage
Ford: DOL = 500/200 = 2,5Vinaxuki: DOL = 400/200 =2,0
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Ford•Increase in Net operating income (%) = 2,5 x 20% = 50%•Increase in Net operating income ($) = 50% x 200 = 100
Vinaxuki•Increase in Net operating income (%)= 2,0 x 20% = 40%• Increase in Net operating income ($) = 40% x 200 = 80
∆%Net operating income = DOL x ∆% Sales
Operating levegare
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Quick Check Coffee Klatch is an espresso stand in
a downtown office building. The average selling price of a cup of coffee is $1.49 and the average variable expense per cup is $0.36. The average fixed expense per month is $1,300. 2,100 cups are sold each month on average. What is the operating leverage?a. 2.21b. 0.45c. 0.34d. 2.92
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Quick Check At Coffee Klatch the average selling price of a cup of coffee is $1.49, the average variable expense per cup is $0.36, and the average fixed expense per month is $1,300. 2,100 cups are sold each month on average.
If sales increase by 20%, by how much should net operating income increase?
a. 30.0%b. 20.0%c. 22.1%d. 44.2%
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The Concept of Sales Mix
•Sales mix is the relative proportions in which a company’s products are sold.▫In units▫In dollars
•Average contribution margin per unit = ∑ UCMi X unit sales mixi
•Average contribution margin rate = ∑ CM ratei X $ sales mixi
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Average contribution margin per unit500 x 70% + 600 x 30% = 530
70% PepsiUCM: VND500 per litre
30% 7upUCM: VND600 per litre
Breakeven point3.180.000/530 = 6000 litres
6000 x 70% = 4200 litres 6000x 30% = 1800 litres
Breakeven analysis with sales mix
Fixed costs
VND318,000,000
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Tỷ lệ lợi nhuận góp bình quân 30% x 70% + 40% x 30% = 33%
Breakeven point3.300/33% = VND 10,000 mil.
70% Telephone servicesCM rate 30%
30% Internet services CM rate 40%
Fixed costsVND3,300 mil.
Breakeven analysis with sales mix
10,000 x 70% = VND 7,000mil.10,000x 30% = VND 3,000
mil.
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Example 2
In VND 000’ Sticky rice Mooncake
Baked Mooncake
Total
Unit selling price 20 25
Unit variable costs 8 12,5
Total fixed costs 60,000
Sales for Jan. 2014 40% 60% 300,000
Sales for Feb. 2014 60% 40% 300,000
Nhu Ngoc is a Mooncake producer. The information for the performance in Jan. and Feb. 2014 as below. Calculate net operating income for each month and explain for the difference.
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Total1 piece 1 piece
SalesVariable costsContribution marginFixed costsNet operating income
Nhu Ngoc Inc.Income StatementFor January, 2014
Sticky rice mooncake
Baked mooncake
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Total1 piece 1 piece
SalesVariable costsContribution marginFixed costsNet contribution margin
Nhu Ngoc Inc.Income statement
For Feb. 2014Sticky rice mooncake
Baked mooncake
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Key Assumptions of CVP Analysis
Selling price is constant. Costs are linear and can be accurately
divided into variable (constant per unit) and fixed (constant in total) elements.
In multiproduct companies, the sales mix is constant.
In manufacturing companies, inventories do not change (units produced = units sold).
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End of Chapter 03